B-physics from HQET in two-flavour lattice QCD
F. Bernardoni, B. Blossier, J. Bulava, M. Della Morte, P. Fritzsch, N., Garron, A. G\'erardin, J. Heitger, G. von Hippel, H. Simma, R. Sommer

TL;DR
This paper uses non-perturbative HQET in two-flavor lattice QCD to accurately compute B-meson properties, including the b-quark mass and decay constants, with controlled errors and increased statistical precision.
Contribution
It introduces a systematic approach combining all-to-all propagators, HYP smearing, and GEVP to improve error control and precision in B-physics calculations within lattice QCD.
Findings
b-quark mass mb = 4.22(10)(4)z GeV
B-meson decay constant fB = 193(9)stat (4)_ MeV
fBs = 219(12)stat MeV
Abstract
We present our analysis of B physics quantities using non-perturbatively matched Heavy Quark Effective Theory (HQET) in Nf= 2 lattice QCD on the CLS ensembles. Using all-to-all propagators, HYP-smeared static quarks, and the Generalized Eigenvalue Problem (GEVP) approach with a conservative plateau selection procedure, we are able to systematically control all sources of error. With significantly increased statistics compared to last year, our preliminary results are mb (mb) = 4.22(10)(4)z GeV for the MS b-quark mass, and fB = 193(9)stat (4)_\chi MeV and fBs = 219(12)stat MeV for the B-meson decay constants.
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